We report here the first full sky component separation and CMB power spectr
um estimation using a Wiener filtering technique on simulated data from the
upcoming MAP experiment, set to launch in early 2001. The simulations incl
uded contributions from the three dominant astrophysical components expecte
d in the five MAP spectral bands, namely CMB radiation, Galactic dust, and
synchrotron emission. We assumed a simple homogeneous and isotropic white n
oise model and performed our analysis up to a spherical harmonic multipole
l(max) = 512 on the fraction of the sky defined by \b\ > 20 degrees. We fin
d that the reconstruction errors are reasonably well fitted by a Gaussian w
ith an rms of 24 muK, but with significant deviations in the tails. Our res
ults further support the predictions on the resulting CMB power spectrum of
a previous estimate by Bouchet & Gispert (1999), which entailed a number o
f assumptions this work removes.